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Finding the Fourth Proportional to 186.53, 278.57 and 156.12

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Solution

The fourth proportional to 186.53, 278.57 and 156.12 is: 233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 278.57 = 156.12 : x
  2. Step 2: Convert to fraction form
    186.53/278.57 = 156.12/x
  3. Step 3: Cross multiply
    186.53x = 278.57 × 156.12
  4. Step 4: Simplify right side
    186.53x = 43,488.82
  5. Step 5: Solve for x
    x = 43,488.82/186.53
  6. Step 6: Final answer
    x = 233.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.